2072967 has 16 divisors (see below), whose sum is σ = 3107328. Its totient is φ = 1219680.

The previous prime is 2072953. The next prime is 2072969. The reversal of 2072967 is 7692702.

It is not a de Polignac number, because 2072967 - 2⁷ = 2072839 is a prime.

2072967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259 + ... + 2052.

It is an arithmetic number, because the mean of its divisors is an integer number (194208).

2^2072967 is an apocalyptic number.

2072967 is a deficient number, since it is larger than the sum of its proper divisors (1034361).

2072967 is a wasteful number, since it uses less digits than its factorization.

2072967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 2072967 is about 1439.7801915570. The cubic root of 2072967 is about 127.5060512314.

The spelling of 2072967 in words is "two million, seventy-two thousand, nine hundred sixty-seven".